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Nutka1998 [239]
3 years ago
5

Simplify [-2.8]   please help me how to simplify this math proplem??????<br /><br />

Mathematics
2 answers:
Karolina [17]3 years ago
7 0
In fraction form the answer would be -2 4/5.
8090 [49]3 years ago
6 0
In fraction form it is 4 4/8
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Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.
KengaRu [80]

We have the following expression

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})

This is equivalent to

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})

Since

\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi

we have that

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})

Therefore, the answer is the second option from top to bottom.

3 0
10 months ago
The circumference of a circle is about 37.7 cm and the diameter is about 12 cm. What expression best represents the value of π ?
Yakvenalex [24]

Answer:

Step-by-step explanation:

Circumference of a circle means the perimeter of a circle and it is given be

Perimeter=2πr

P=2πr

Though π is a constant

But this question want us to find π

Make π the subject of the formula

Then, divide both side by

π=P/2r

Given that P=37.7cm

And diameter =12

And radius is half of diameter.

Therefore, radius =12/2=6cm

Then

π=P/2r

π=37.7/2×6

π=37.7/12.

Then, the last option is the correct option

6 0
2 years ago
What is the equation of the line through (7, -1) with slope -3?
Slav-nsk [51]
Point slope is y-y1=m(x-x1) where m is slope and x1 and y1 are the given x and y values.

y-(-1)=-3(x-7)
y+1=-3(x-7)

Final answer: B
3 0
3 years ago
Read 2 more answers
Billy walks 15 miles every day to soccer practice, and catches a ride home from his grandma. Billy had 5 practices last week. Ho
kirza4 [7]

Billy walked 75 yards last week

8 0
3 years ago
-X² + 5x - 6 = 2<br> Using the quadratic formula
Ivenika [448]

-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\

↝ Form into ax^2+bx+c = 0 where a > 0 (Optional)

x^2-5x+8=0 ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

↝ Solution with Real Numbers  System ↝  There are no real solutions.

↝ Solution with Complex Number System ↝

x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}

Therefore, the answer for Complex Number System is (5±√7i)/2

3 0
2 years ago
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